China · Grade 6 · Practice Sheet 27

1. 1.

   A triangle has a base of 36 cm and a height of 20 cm. Find its area.

   Formula:Area of a Triangle

   $A = \tfrac{1}{2} b h$

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2. 2.

   Convert 10.22 kilometres into metres.

   Formula:Metric Length Conversion

   $1\,\text{km} = 1000\,\text{m}$

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3. 3.

   Calculate 83 × 5.

   Formula:Multiplication

   $p = a \times b$

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4. 4.

   What is 12% of 140?

   Formula:Percentage of a Quantity

   $\text{result} = \dfrac{p}{100} \times N$

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5. 5.

   Find the mean (average) of these numbers: 56, 78, 43, 81, 66.

   Formula:Arithmetic Mean

   $\bar{x} = \dfrac{\sum x}{n}$

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6. 6.

   Calculate 320 ÷ 8.

   Formula:Division

   $q = \dfrac{a}{b}$

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7. 7.

   Find 1/8 of 144.

   Formula:Fraction of a Quantity

   $\text{result} = \dfrac{a}{b} \times N$

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8. 8.

   What is 40% of 330?

   Formula:Percentage of a Quantity

   $\text{result} = \dfrac{p}{100} \times N$

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9. 9.

   A rectangle is 16 cm long and 17 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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10. 10.

    ¥4,800 is invested at 8% simple interest per year for 5 years. Find the interest earned.

    Formula:Simple Interest

    $I = \dfrac{P \times r \times t}{100}$

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11. 11.

    A train moves at 66 km/h for 3.1 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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12. 12.

    Find 2/5 of 50.

    Formula:Fraction of a Quantity

    $\text{result} = \dfrac{a}{b} \times N$

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13. 13.

    One item costs ¥13.96. Find the total cost of 8 items.

    Formula:Total Cost

    $\text{total} = \text{price} \times \text{quantity}$

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14. 14.

    A circle has a radius of 19 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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15. 15.

    Find the perimeter of a rectangle measuring 26 m by 6 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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16. 16.

    ¥2,300 is invested at 3% simple interest per year for 6 years. Find the interest earned.

    Formula:Simple Interest

    $I = \dfrac{P \times r \times t}{100}$

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17. 17.

    Find the circumference of a circle whose radius is 6 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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18. 18.

    Find the perimeter of a rectangle measuring 14 m by 30 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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19. 19.

    ¥150 is shared in the ratio 5 : 5. Find each share.

    Formula:Dividing in a Ratio

    $\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T$

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20. 20.

    Find the mean (average) of these numbers: 66, 75, 69, 85, 50, 33.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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